The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval | Zendy

Mohamed Abdalla Darwish | Zendy; Józef Banaś | Zendy; Ebraheem Alzahrani | Zendy

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The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval

Author(s) -

Mohamed Abdalla Darwish,

Józef Banaś,

Ebraheem Alzahrani

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/147409

Subject(s) - mathematics , banach space , interval (graph theory) , bounded function , integral equation , mathematical analysis , fixed point theorem , type (biology) , space (punctuation) , pure mathematics , combinatorics , ecology , linguistics , philosophy , biology

We prove a result on the existence and uniform attractivity of solutions of an Urysohn integralequation. Our considerations are conducted in the Banach space consisting of real functions whichare bounded and continuous on the nonnegative real half axis. The main tool used in investigationsis the technique associated with the measures of noncompactness and a fixed point theorem of Darbotype. An example showing the utility of the obtained results is also included

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